The question changed during the formulation from
What is the correct 'British English' pronunciation of Van Gogh?
Is there such a thing as a 'correct' English pronunciation of a Dutch name -- specifically of Van Gogh?
Failing that, is there at least a commonly accepted convention? For personal usage I'm interested in 'British English' variants including Irish English, but extra padding concerning US variants would not go amiss.
The solution might be to use the correct Dutch pronunciation, but it doesn't sit naturally with me. This answer on the ELU site made me think there might not be a definitive answer.
Another consideration is that there is often no one established “correct” pronunciation for foreign names in English. Usually for famous or well-known people, some kind of conventional pronunciation is established over time, but what that pronunciation will be is not always predictable. Some people try to pronunce names as close to the original language as they can. This means that it would be difficult to figure out how to spell these names if it was based on how English speakers pronounce them
Google wasn't as helpful as I thought it would be. Several sites gave the correct Dutch pronunciation and noted that English native speakers (both sides of the Atlantic) pronounced it incorrectly. But then I found an ever so British perspective
Something that drives British people absolutely bonkers is hearing an American "mispronounce" the name of Dutch post-impressionist Vincent van Gogh. Pangs of rage fill up the collective consciousness as the nation retorts in one voice: "it's VAN-GOFF, not VAN-GO!"
Though not a big fan of the style of the piece, as an Irish English-speaker this is also the pronunciation I use. So can I assume in British and Irish English usage that Van Gogh rhymes with cough??